Stability and Passive Control of Singular Systems
|Course||Operational Research and Cybernetics|
|Keywords||Generalized system Delay systems Bilinear systems Passive Control Robust Stability Quadratic stability Asymptotically stable Lyapunov equations State feedback Matrix inequalities|
Generalized system has wide application background , a better description of the actual system , three decades to attract the attention of a large number of experts and scholars , some valuable conclusions , is becoming a hot topic of modern control theory . Dissipative theory plays an important role in the stability of the system research , without endogenous dissipation is an important aspect , is the stability of a higher level of abstraction . In this paper, the uncertainty in the system parameters and discuss the problem of the uncertain generalized system stability and passive control . Bilinear systems of nonlinear system , consider a passive control for generalized delay systems . The main contents are as follows : the first for generalized linear delay systems , discusses the uncertain linear generalized systems with time-varying delay passive control problem , research varying delay descriptor systems with uncertain parameters when containing not determine the parameters of the time-varying delay singular system with passive resistance , and to ensure that the system is passive state feedback controller . Secondly , the study of discrete Uncertain Descriptor Systems Robust passive control problem using generalized Lyapunov function and strict matrix inequalities , given uncertain discrete singular system of generalized quadratic stability and sufficient condition for strictly passive for a final study bilinear generalized delay systems passive control problem using linear matrix inequalities and generalized Ricatti inequality get a bilinear generalized delay system is asymptotically stable and strictly passive sufficient condition , and based on this condition design state feedback controller such that the closed-loop system is asymptotically stable and strictly passive .